Author:
Garofalo Nicola,Loiudice Annunziata,Vassilev Dimiter
Abstract
In this paper, we establish the sharp asymptotic decay of positive solutions of the Yamabe type equation
$\mathcal {L}_s u=u^{\frac {Q+2s}{Q-2s}}$
in a homogeneous Lie group, where
$\mathcal {L}_s$
represents a suitable pseudodifferential operator modelled on a class of nonlocal operators arising in conformal CR geometry.
Publisher
Cambridge University Press (CUP)
Reference44 articles.
1. Singular integrals with mixed homogeneity
2. 24 Ivanov, S. , Minchev, I. and Vassilev, D. , Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group, to appear in Analysis & PDE.
3. Uniqueness of Radial Solutions for the Fractional Laplacian
4. Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem